A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation
From MaRDI portal
Publication:1200025
DOI10.1007/BF01896975zbMath0780.35015OpenAlexW1975539104MaRDI QIDQ1200025
Publication date: 17 January 1993
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58152
unique continuationelliptic differential inequalitiesdifferential forms on manifoldselliptic operators with variable coefficientsexponential decay of measures
Partial differential inequalities and systems of partial differential inequalities (35R45) Continuation and prolongation of solutions to PDEs (35B60) Elliptic equations and elliptic systems (35J99)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms
- Uniqueness and non-uniqueness in the Cauchy problem
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Carleman inequalities for the Dirac and Laplace operators and unique continuation
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Unique continuation for Schrödinger operators with unbounded potentials
- Unique continuation for \(|\Delta u| \leq V|\nabla u|\) and related problems
- The multiplier problem for the ball
- Uniqueness in the Cauchy Problem for Partial Differential Equations
- Uniqueness theorems for second order elliptic differential equations
- Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
- Oscillatory Integrals and Unique Continuation for Second Order Elliptic Differential Equations
- Non-unicité pour des opérateurs différentiels à caractéristiques complexes simples